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valina [46]
3 years ago
6

Which of the following sets of numbers is a Pythagorean triple?

Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

12,16,20

Step-by-step explanation:

because in Pythagoras theorem m/2

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3 years ago
CAN SOMEONE PLEASE HELP ME WITH THESE PEOPLE​
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Inverse of f(x)=x+2 is f^{-1}(x)=x-2 because

f(x)=x+2\Rightarrow x=f^{-1}(x)+2\Rightarrow\boxed{f^{-1}(x)=x-2}

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What is the area of a triangle whose vertices are X(1, 1), Y(3, -1), and Z(4,4)?
shepuryov [24]

Answer:

Step-by-step explanation:

Note that in this diagram, point A represents point X, point B represents point Y, and point C represents point Z.

From the diagram, it appears as if \overline{XZ} \perp \overline{XY}. To determine if this is the case, we can find the slopes of both segments.

m_{\overline{XZ}}=\frac{4-1}{4-1}=1\\m_{\overline{XY}}=\frac{-1-1}{3-1}=-1

Since these slopes are negative reciprocals, we know that they are perpendicular.

This means we can use the formula A=\frac{1}{2}bh, where b is the base (XY) and h is the height (XZ).

  • Note these are interchangeable.

Using the distance formula,

XY=\sqrt{(3-1)^{2}+(-1-1)^{2}}=2\sqrt{2}\\XZ=\sqrt{(4-1)^{2}+(4-1)^{2}}=3\sqrt{2}

This means the area is \frac{1}{2}(2\sqrt{2})(3\sqrt{2})=\boxed{6}

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2 years ago
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